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Finding the Fourth Proportional to 21,834.97, 30,133.07 and 12,405.13

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Solution

The fourth proportional to 21,834.97, 30,133.07 and 12,405.13 is: 17,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.97 : 30,133.07 = 12,405.13 : x
  2. Step 2: Convert to fraction form
    21,834.97/30,133.07 = 12,405.13/x
  3. Step 3: Cross multiply
    21,834.97x = 30,133.07 × 12,405.13
  4. Step 4: Simplify right side
    21,834.97x = 373,804,588.62
  5. Step 5: Solve for x
    x = 373,804,588.62/21,834.97
  6. Step 6: Final answer
    x = 17,119.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.